Finite groups with biprimary Hall subgroups

被引：4

作者：

Tyutyanov, Valentin N. ^{[1
]}

Kniahina, Viktoryia N. ^{[2
]}

机构：

[1] Int Univ MITSO, Gomel Branch, Gomel 246019, BELARUS

[2] Gomel Engn Inst, Gomel 246035, BELARUS

来源：

JOURNAL OF ALGEBRA | 2015年 / 443卷

关键词：

Finite groups; Hall subgroups; Simple groups; pi-Hall subgroups;

D O I：

10.1016/j.jalgebra.2015.08.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group and let r be a prime divisor of the order of G. We prove that if r >= 5 and G has the E-{r,E-t}-property for all t is an element of pi(G)\{r}, then G is r-solvable. A group G is said to have the E-pi-property if G possesses a Hall pi-subgroup. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：430 / 440

页数：11

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